Page 19 - Calculus for the Clueless
P. 19
Chapter 5—
What You Should Know from Before To Do the Next
We have now come to the part of the book that requires you to work harder than perhaps at any time in the
entire calculus sequence. We are about to embark on learning new, long integration techniques. Since the
product and quotient rules do not hold for integrals, we are forced to learn many techniques, most of which are
long.
In order to make these integrals shorter, we are listing some crucial facts from previous chapters. If you have
properly learned them, this chapter will be much easier.
1. The definition of the six trig functions
2. The values of the six trig functions for multiples of 30, 45, 60, and 90 unless your instructor allows you to
cheat and use calculators
3. The derivatives of the six trig functions
4. For the last time, the following identities:
A.
B.
C.
D.
E.
F.
G.
H.
I.
Note
It is of interest to note that you really don't need to know cos 2x, as we will see shortly.
J.
K.
5. The beginning integrals
A. Integral of
B. Multiplying out
C. Dividing out
